SOLUTION: Perform the indicated operation and write the results in standard form. (4+√(-3))(3+√(-2))) Sorry did not know where to post!

Algebra ->  sets and operations -> SOLUTION: Perform the indicated operation and write the results in standard form. (4+√(-3))(3+√(-2))) Sorry did not know where to post!      Log On


   

Question 684608: Perform the indicated operation and write the results in standard form.
(4+√(-3))(3+√(-2)))
Sorry did not know where to post!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2Bsqrt%28-3%29%29%283%2Bsqrt%28-2%29%29%29
%284%2Bsqrt%28%28-1%293%29%29%283%2Bsqrt%28%28-1%292%29%29%29............sqrt%28-1%29=i
%284%2Bi%2Asqrt%283%29%29%283%2Bi%2Asqrt%282%29%29%29
%284%2Bi%2A1.73%29%283%2Bi%2A1.41%29%29
%284%2B1.73i%29%283%2B1.41i%29%29
4%2A3%2B4%2A1.41i%2B1.73i%2A3%2B1.73i%2A1.41i
12%2B5.64i%2B5.19i%2B2.4393i%5E2............i%5E2=-1
12%2B10.83i%2B2.4393%28-1%29
12%2B10.83i-2.4393
9.5607%2B10.83i

or this way:

%284%2Bsqrt%28-3%29%29%283%2Bsqrt%28-2%29%29%29
4%2A3%2B4sqrt%28-2%29%2B3sqrt%28-3%29%2Bsqrt%28-2%29sqrt%28-3%29..group firs term with last one
%2812%2Bsqrt%28-2%29sqrt%28-3%29%29+%2B+%284sqrt%28-2%29%2B3sqrt%28-3%29%29
%2812%2Bi%2Ai%2Asqrt%282%29sqrt%283%29%29+%2B+%284sqrt%282%29%2Ai%2B3sqrt%283%29%2Ai%29
%2812%2Bi%5E2sqrt%286%29%29+%2B+%284sqrt%282%29%2B3sqrt%283%29%29i
%2812%2B%28-1%29sqrt%286%29%29+%2B+%284sqrt%282%29%2B3sqrt%283%29%29i
%2812-sqrt%286%29%29+%2B+%284sqrt%282%29%2B3sqrt%283%29%29i